Sturm-Liouville operators on time scales
, 2011 We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have ...
Atkinson F. +14 more
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Unifying discrete and continuous Weyl-Titchmarsh theory via a class of linear Hamiltonian systems on Sturmian time scales [PDF]
, 2010 In this study, we are concerned with introducing Weyl-Titchmarsh theory for a class of dynamic linear Hamiltonian nabla systems over a half-line on Sturmian time scales.
Anderson, Douglas R.
core
Some implications of a new definition of the exponential function on time scales
, 2010 We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
core
On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism. [PDF]
AIMS Math, 2021 Eilertsen J +3 more
europepmc +1 more source
Young's integral inequality with upper and lower bounds
, 2010 Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new ...
Anderson, Douglas R. +2 more
core +1 more source
A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales. [PDF]
Entropy (Basel), 2021 Wang C, Agarwal RP.
europepmc +1 more source
Qualitative analysis of dynamic equations on time scales
, 2018 In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness of the solution.
Abbas, Syed
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New definitions of exponential, hyperbolic and trigonometric functions on time scales
, 2010 We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Cieslinski, Jan L.
core
Dynamic Opial diamond-α integral inequalities involving the power of a function. [PDF]
J Inequal Appl, 2017 Mirković TZ.
europepmc +1 more source
Conformable fractional Dirac system on time scales. [PDF]
J Inequal Appl, 2017 Gulsen T, Yilmaz E, Goktas S.
europepmc +1 more source